Geodesic
Ergodic properties of systems with an external potential in classical statistical mechanics
Izvestiya. Mathematics, Tome 34 (1990) no. 1, pp. 181-200 
M. R. Soloveichik. Ergodic properties of systems with an external potential in classical statistical mechanics. Izvestiya. Mathematics, Tome 34 (1990) no. 1, pp. 181-200. http://geodesic.mathdoc.fr/item/IM2_1990_34_1_a7/
@article{IM2_1990_34_1_a7,
     author = {M. R. Soloveichik},
     title = {Ergodic properties of systems with an external potential in classical statistical mechanics},
     journal = {Izvestiya. Mathematics},
     pages = {181--200},
     year = {1990},
     volume = {34},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1990_34_1_a7/}
}
TY  - JOUR
AU  - M. R. Soloveichik
TI  - Ergodic properties of systems with an external potential in classical statistical mechanics
JO  - Izvestiya. Mathematics
PY  - 1990
SP  - 181
EP  - 200
VL  - 34
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/IM2_1990_34_1_a7/
LA  - en
ID  - IM2_1990_34_1_a7
ER  - 
%0 Journal Article
%A M. R. Soloveichik
%T Ergodic properties of systems with an external potential in classical statistical mechanics
%J Izvestiya. Mathematics
%D 1990
%P 181-200
%V 34
%N 1
%U http://geodesic.mathdoc.fr/item/IM2_1990_34_1_a7/
%G en
%F IM2_1990_34_1_a7

Voir la notice de l'article provenant de la source Math-Net.Ru

For infinite-particle systems of classical statistical mechanics, a method of describing the dynamics of a charged one-dimensional Brownian particle is obtained. Bibliography: 7 titles.

[1] Boldrigini C., Pellegrinotti A., Presutti E., Sinai Ya. G., Soloveichik M. R., “Ergodic Properti es of a Semi-Infinite One-Dimensional System of Statistical Mechanics”, Commun. Math. Phys., 101 (1985), 363–382 | DOI | MR

[2] Sinai Ya. G., “Postroenie dinamiki v odnomernykh sistemakh statisticheskoi mekhaniki”, Teor. i matem. fiz., 11:2 (1972), 248–258 | MR

[3] Kornfelf I. P., Sinai Ya. G., Fomin S. V., Ergodicheskaya teoriya, Nauka, M., 1980 | MR

[4] Ornstein D., Ergodicheskaya teoriya, sluchainost i dinamicheskie sistemy, Mir, M., 1978 | MR

[5] Lenford, “Evolyutsiya vo vremeni bolshikh klassicheskikh sistem”, Gibbsovskie sostoyaniya v statisticheskoi fizike, Mir, M., 1980

[6] Sinai Ya. G., Soloveichik M. R., “One-Dimensional Classical Massive Particle in the Ideal Gas”, Commun. Math. Phys., 104 (1986), 423–443 | DOI | MR | Zbl

[7] Goldstein S., Lebowitz J., Ravishankar K., “Ergodic Properties of a System in Contact with a Heat Bath”, Commun. Math. Phys., 85:3 (1982), 419–427 | DOI | MR | Zbl